Abce Is An Isosceles Trapezoid And Acde Is A Rectangle. Ab = 10 And E

1.	Abce Is An Isosceles Trapezoid And Acde Is A Rectangle. Ab = 10 And Ec = 20. What Is The Length Of Ae?
Answer» From point A we draw the perpendicular segment AP to the basis EC. Then EP=(20-10)/2=5 From the rectangular triangle EAC (A=90) we have (AE)^2=(EP)(EC) (AE)^2=520 (AE)^2=100 (AE)=10 From point A we draw the perpendicular segment AP to the basis EC. Then EP=(20-10)/2=5 From the rectangular triangle EAC (A=90) we have (AE)^2=(EP)(EC) (AE)^2=520 (AE)^2=100 (AE)=10

Abce Is An Isosceles Trapezoid And Acde Is A Rectangle. Ab = 10 And Ec = 20. What Is The Length Of Ae?

Answer»

From point A we draw the perpendicular

segment AP to the basis EC.

Then EP=(20-10)/2=5

From the rectangular triangle EAC

(A=90) we have

(AE)^2=(EP)(EC)

(AE)^2=5*20

(AE)^2=100

(AE)=10

From point A we draw the perpendicular

segment AP to the basis EC.

Then EP=(20-10)/2=5

From the rectangular triangle EAC

(A=90) we have

(AE)^2=(EP)(EC)

(AE)^2=5*20

(AE)^2=100

(AE)=10